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Author Topic: Fractals in nature  (Read 2694 times)
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ankrie
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« on: February 22, 2007, 08:20:50 AM »

Here photos of fractals in nature
mathpaint.blogspot.com/2007/02/fractals-in-nature.html
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Nahee_Enterprises
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« Reply #1 on: February 22, 2007, 11:11:57 PM »

Ankrie wrote:
>
>    Here photos of fractals in nature

Greetings, and welcome to this Forum!!   smiley

Would you happen to be the same "Ankrie" that markets the "Image Cutter" ??


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ankrie
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« Reply #2 on: March 04, 2007, 01:34:56 PM »


Would you happen to be the same "Ankrie" that markets the "Image Cutter" ??

Yes, it's me.
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« Reply #3 on: August 27, 2008, 12:45:00 PM »

i want to outline an iterative process that i perceive in plant development from the seed. This process i will attempt to lay out in the form of an algorithm.

A..
I propose that the seed is a bounded region within which a recursive/iterative process is taking place. The process is stable within the boundary and forms patterns that are identified as structural regions within the boundary. These structural regions are expressions of "molecular" arrangement which themselves are expressions of "atomic" arrangement. Whatever these terms mean i perceive a self similarity demonstrated by magnification of any image taken of them.


B..
Certain conditions destabilise the process within the boundary, either by crossing the boundary into the pattern and providing additional elements for the process to iterate on, or by providing an energy transfer at the boundary which "quickens" the internal iterative process,or both. The conditions that do this may also introduce new additional iterative processes to the existing boundarised ones so as to make a new recursive process which therefore has a new boundary organisation.

C..
The iterative process has an input and output organisation and this is expressed structurally by process paths within the expressed pattern(s).

D..
The new process develops its own boundary arrangements and so breaks through the existing boundary, which has degraded because the process that established it no longer is dominant. The new process has a boundary which reflects its structure, a input output iteration process which is dynamic and in replication and magnification mode.

E..
The new process iterates through a certain undefined number of cycles each expressing a boundary that is self similar to the previous one and related by a multiplication and or magnification factor. Regions within that boundary are perceived at some level to be similar to the new boundary.

F..
At an undefined number of cycles certain regions within the new boundary begin a perceivable miniturisation and or division process which begins to express structures that were within the originating seed. These regions are notable because of their variations in the boundaries, their size and the sheer number of miniature structures produced.
It is also notable that in producing these regions at miniature size the iterative process truncates and or stabilises. and this involves the loss out of the boundary of certain expressions of the process

G..
After an undefined number of cycles the boundary in the miniaturisation regions become diminished and the seed like regions are lost to the main structure/ boundarised region. These seeds are capable of replicating this process in different but mostly nearby locations, and so develop the pattern on a macro scale.

H..
The process within the subject boundary has developed at this stage a bi-polar dynamic which stabilises the rate of development of the boundary: The magnification/ multiplication aspect is counterbalanced by the miniaturisation/division aspect of the process or processes. Once it has reached this stage the iteration recycles through  E, F, G, H    indefinitely but at an altered rate dependent on this bipolar dynamic and the elements the process needs for its input processes.

I..
The input output processes are a controlling dynamic system within the iterative process or proccesses and have not been fully realised in this algorithm at every stage. This again supplies levels of self similarity within the process which are output in a structure/ pattern which has similarity at several levels.

The computational aspects of this process could be said to reside in the molecular biological machines within the boundarised regions of a cell, but i prefer to locate them as properties of the space enfolded within those molecular structures.

If anyone can code this type of algorithm or has coded it , please respond, Also do play with modify or refine the algorithm as i know i will.
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May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
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